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Popular >

simplify log_{5}(1/15)

Solution

simplify

lo g_{5} (\frac{1}{15})

Solution

- lo g_{5} (15)

+1

Decimal Notation

- 1.68260 \dots

Solution steps

lo g_{5} (\frac{1}{15})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{5} (\frac{1}{15}) = lo g_{5} (1) - lo g_{5} (15)

= lo g_{5} (1) - lo g_{5} (15)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{5} (15)

0 - lo g_{5} (15) = - lo g_{5} (15)

= - lo g_{5} (15)

Popular Examples

simplify-log_{10}(5*10^{-13})simplify

- lo g_{10} (5 \cdot 1 0^{- 13})

expand log_{10}((sqrt(z^3y))/(x^4))expand

lo g_{10} (\frac{z ^{3} y}{x ^{4}})

simplify 2log_{b}(t)+1/2 log_{b}(r)simplify

2 lo g_{b} (t) + \frac{1}{2} lo g_{b} (r)

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lo g_{7} (x) + 2 lo g_{7} (y)

simplify ln(3)+2ln(2)simplify

ln (3) + 2 ln (2)

Frequently Asked Questions (FAQ)

What is log_{5}(1/15) ?
The solution to log_{5}(1/15) is -log_{5}(15)